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<h1 class="epydoc">Source Code for <a href="pod-module.html">Package pod</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-docstring">Framework for performing a Proper Orthogonal Decomposition (POD).</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-docstring">Useful references:</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-docstring">  - http://en.wikipedia.org/wiki/Homogeneous_coordinates</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-docstring">  - http://en.wikipedia.org/wiki/Transformation_matrix#Affine_transformations</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"><tt class="py-docstring">Usage example:</tt> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt class="py-docstring">&gt;&gt;&gt; import pod</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring">&gt;&gt;&gt; refs = [ [-4.0, -1.0],</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring">&gt;&gt;&gt;          [-2.0, -1.0],</tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring">&gt;&gt;&gt;          [3.0, 4.0] ]</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-docstring">&gt;&gt;&gt; target = [-2.0, 1.5]</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-docstring">&gt;&gt;&gt; decomposition = pod.decompose(target, refs, epsilon=1E-6, max_iter=90)</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line"><tt class="py-docstring">&gt;&gt;&gt; print decomposition.get_decomposition()</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"><tt class="py-docstring">[-1.9999991745134178, 1.4999993808850638]</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-docstring">&gt;&gt;&gt; print decomposition.get_reference_weights()</tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-docstring">[0.96153806466991254, 0.0, 0.61538436138874408]</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"><tt class="py-docstring">The example above shows the reconstruction of the target using 3 reference</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"><tt class="py-docstring">signals, from which only reference 1 and reference 3 are useful (reference 2</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-docstring">is assigned a weight of 0).</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"><tt class="py-docstring">@author: Christophe Alexandre &lt;ch.alexandre at bluewin dot ch&gt;</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line"><tt class="py-docstring">@license:</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"><tt class="py-docstring">Copyright(C) 2010 Christophe Alexandre</tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"><tt class="py-docstring">This program is free software: you can redistribute it and/or modify</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line"><tt class="py-docstring">it under the terms of the GNU Lesser General Public License as published by</tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"><tt class="py-docstring">the Free Software Foundation, either version 3 of the License, or</tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line"><tt class="py-docstring">(at your option) any later version.</tt> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"><tt class="py-docstring">This program is distributed in the hope that it will be useful,</tt> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line"><tt class="py-docstring">but WITHOUT ANY WARRANTY; without even the implied warranty of</tt> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line"><tt class="py-docstring">MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</tt> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line"><tt class="py-docstring">GNU General Public License for more details.</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line"><tt class="py-docstring">You should have received a copy of the GNU Lesser General Public License</tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line"><tt class="py-docstring">along with this program.  If not, see &lt;http://www.gnu.org/licenses/lgpl.txt&gt;.</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line"><tt class="py-name">__all__</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-string">'decompose'</tt><tt class="py-op">,</tt> <tt class="py-string">'combined_distance'</tt><tt class="py-op">,</tt> <tt class="py-string">'DecompositionBasic'</tt><tt class="py-op">]</tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line"> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">os</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">logging</tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line"> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt id="link-0" class="py-name" targets="Module pod.vecspace=pod.vecspace-module.html"><a title="pod.vecspace" class="py-name" href="#" onclick="return doclink('link-0', 'vecspace', 'link-0');">vecspace</a></tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-1" class="py-name" targets="Module pod.util=pod.util-module.html"><a title="pod.util" class="py-name" href="#" onclick="return doclink('link-1', 'util', 'link-1');">util</a></tt> <tt class="py-keyword">import</tt> <tt id="link-2" class="py-name" targets="Class pod.util.NullHandler=pod.util.NullHandler-class.html"><a title="pod.util.NullHandler" class="py-name" href="#" onclick="return doclink('link-2', 'NullHandler', 'link-2');">NullHandler</a></tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line"><tt id="link-3" class="py-name" targets="Variable pod._h=pod-module.html#_h,Variable pod.linalg._h=pod.linalg-module.html#_h,Variable pod.util._h=pod.util-module.html#_h,Variable pod.vecspace._h=pod.vecspace-module.html#_h"><a title="pod._h
pod.linalg._h
pod.util._h
pod.vecspace._h" class="py-name" href="#" onclick="return doclink('link-3', '_h', 'link-3');">_h</a></tt> <tt class="py-op">=</tt> <tt id="link-4" class="py-name"><a title="pod.util.NullHandler" class="py-name" href="#" onclick="return doclink('link-4', 'NullHandler', 'link-2');">NullHandler</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line"><tt id="link-5" class="py-name" targets="Variable pod._logger=pod-module.html#_logger,Variable pod.linalg._logger=pod.linalg-module.html#_logger,Variable pod.util._logger=pod.util-module.html#_logger,Variable pod.vecspace._logger=pod.vecspace-module.html#_logger"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-5', '_logger', 'link-5');">_logger</a></tt> <tt class="py-op">=</tt> <tt class="py-name">logging</tt><tt class="py-op">.</tt><tt class="py-name">getLogger</tt><tt class="py-op">(</tt><tt class="py-string">'pod'</tt><tt class="py-op">)</tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line"><tt id="link-6" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-6', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">addHandler</tt><tt class="py-op">(</tt><tt id="link-7" class="py-name"><a title="pod._h
pod.linalg._h
pod.util._h
pod.vecspace._h" class="py-name" href="#" onclick="return doclink('link-7', '_h', 'link-3');">_h</a></tt><tt class="py-op">)</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line">         </tt>
<a name="combined_distance"></a><div id="combined_distance-def"><a name="L55"></a><tt class="py-lineno"> 55</tt> <a class="py-toggle" href="#" id="combined_distance-toggle" onclick="return toggle('combined_distance');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pod-module.html#combined_distance">combined_distance</a><tt class="py-op">(</tt><tt class="py-param">generator_weight</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="combined_distance-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="combined_distance-expanded"><a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line">  <tt class="py-docstring">"""</tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line"><tt class="py-docstring">  Distance function used for ordering the projections.</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line"><tt class="py-docstring">  </tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line"><tt class="py-docstring">  A weight of 0.0 defines the distance to the projected point, while a weight</tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line"><tt class="py-docstring">  of 1.0 defines the distance relative to the point generating the line.</tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line"><tt class="py-docstring">  </tt> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line"><tt class="py-docstring">  At each iteration step the current point is projected onto the closest of</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line"><tt class="py-docstring">  all lines.</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line"><tt class="py-docstring">  </tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line"><tt class="py-docstring">  @param generator_weight: how much weight is assigned to the generator point</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-docstring">  @type generator_weight: float usually in range [0.0, 1.0]</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"><tt class="py-docstring">  """</tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line">   </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line">  <tt class="py-keyword">def</tt> <tt class="py-def-name">func</tt><tt class="py-op">(</tt><tt class="py-param">start_point</tt><tt class="py-op">,</tt> <tt class="py-param">projected_point</tt><tt class="py-op">,</tt>  </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line">                              <tt class="py-param">generator_point</tt><tt class="py-op">,</tt> <tt class="py-param">w</tt><tt class="py-op">=</tt><tt class="py-name">generator_weight</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line">    <tt class="py-name">d1</tt> <tt class="py-op">=</tt> <tt class="py-name">start_point</tt><tt class="py-op">.</tt><tt id="link-8" class="py-name" targets="Method pod.linalg.Matrix.sub()=pod.linalg.Matrix-class.html#sub,Method pod.linalg.Vector.sub()=pod.linalg.Vector-class.html#sub"><a title="pod.linalg.Matrix.sub
pod.linalg.Vector.sub" class="py-name" href="#" onclick="return doclink('link-8', 'sub', 'link-8');">sub</a></tt><tt class="py-op">(</tt><tt class="py-name">generator_point</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-9" class="py-name" targets="Method pod.linalg.Vector.norm()=pod.linalg.Vector-class.html#norm,Function pod.util.norm()=pod.util-module.html#norm"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-9', 'norm', 'link-9');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line">    <tt class="py-name">d2</tt> <tt class="py-op">=</tt> <tt class="py-name">start_point</tt><tt class="py-op">.</tt><tt id="link-10" class="py-name"><a title="pod.linalg.Matrix.sub
pod.linalg.Vector.sub" class="py-name" href="#" onclick="return doclink('link-10', 'sub', 'link-8');">sub</a></tt><tt class="py-op">(</tt><tt class="py-name">projected_point</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-11" class="py-name"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-11', 'norm', 'link-9');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">w</tt> <tt class="py-op">*</tt> <tt class="py-name">d1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">-</tt> <tt class="py-name">w</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">d2</tt> </tt>
</div><a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line">   </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">  <tt class="py-keyword">return</tt> <tt class="py-name">func</tt> </tt>
</div><a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line">   </tt>
<a name="decompose"></a><div id="decompose-def"><a name="L77"></a><tt class="py-lineno"> 77</tt> <a class="py-toggle" href="#" id="decompose-toggle" onclick="return toggle('decompose');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pod-module.html#decompose">decompose</a><tt class="py-op">(</tt><tt class="py-param">source</tt><tt class="py-op">,</tt> <tt class="py-param">references</tt><tt class="py-op">,</tt>  </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line">      <tt class="py-param">epsilon</tt><tt class="py-op">=</tt><tt class="py-number">1E-10</tt><tt class="py-op">,</tt> <tt class="py-param">max_iter</tt><tt class="py-op">=</tt><tt class="py-number">20</tt><tt class="py-op">,</tt>  </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line">      <tt class="py-param">max_factors</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">max_weight</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line">      <tt class="py-param">distance</tt><tt class="py-op">=</tt><tt id="link-12" class="py-name" targets="Function pod.combined_distance()=pod-module.html#combined_distance"><a title="pod.combined_distance" class="py-name" href="#" onclick="return doclink('link-12', 'combined_distance', 'link-12');">combined_distance</a></tt><tt class="py-op">(</tt><tt class="py-number">0.0</tt><tt class="py-op">)</tt> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line">      <tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="decompose-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="decompose-expanded"><a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line"><tt class="py-docstring">    Decomposing the source using the proposed reference points.</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line"><tt class="py-docstring">    @param source: input point</tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line"><tt class="py-docstring">    @type source: list</tt> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line"><tt class="py-docstring">    @param references: list of reference points</tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line"><tt class="py-docstring">    @type references: list</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line"><tt class="py-docstring">    @param epsilon: limit of the error sequence for stopping iteration</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line"><tt class="py-docstring">    @type epsilon: float</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line"><tt class="py-docstring">    @param max_iter: safeguard for stopping iteration</tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line"><tt class="py-docstring">    @type max_iter: int</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line"><tt class="py-docstring">    @param max_factors: limit for the number of reference points, None allowing to use all of them</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line"><tt class="py-docstring">    @type max_factors: int</tt> </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line"><tt class="py-docstring">    @param distance: function used for finding the closest line to project on</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line"><tt class="py-docstring">    @type distance: a function of start point, projected point, generator point</tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line"><tt class="py-docstring">    @return: decomposition details</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line"><tt class="py-docstring">    @rtype: IterativeDecomposition</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">    <tt class="py-name">r</tt> <tt class="py-op">=</tt> <tt class="py-name">BaseDecomposition</tt><tt class="py-op">(</tt><tt class="py-name">references</tt><tt class="py-op">,</tt> <tt class="py-name">epsilon</tt><tt class="py-op">,</tt> <tt class="py-name">max_iter</tt><tt class="py-op">,</tt> <tt class="py-name">max_factors</tt><tt class="py-op">,</tt> <tt class="py-name">max_weight</tt><tt class="py-op">)</tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line">    <tt class="py-name">r</tt><tt class="py-op">.</tt><tt class="py-name">resolve</tt><tt class="py-op">(</tt><tt class="py-name">source</tt><tt class="py-op">)</tt> </tt>
<a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">r</tt> </tt>
</div><a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line"> </tt>
<a name="IterativeDecomposition"></a><div id="IterativeDecomposition-def"><a name="L104"></a><tt class="py-lineno">104</tt> <a class="py-toggle" href="#" id="IterativeDecomposition-toggle" onclick="return toggle('IterativeDecomposition');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pod.IterativeDecomposition-class.html">IterativeDecomposition</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IterativeDecomposition-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="IterativeDecomposition-expanded"><a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line"><tt class="py-docstring">    Decomposition interface definition.</tt> </tt>
<a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line">     </tt>
<a name="IterativeDecomposition.__init__"></a><div id="IterativeDecomposition.__init__-def"><a name="L109"></a><tt class="py-lineno">109</tt> <a class="py-toggle" href="#" id="IterativeDecomposition.__init__-toggle" onclick="return toggle('IterativeDecomposition.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.IterativeDecomposition-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">references</tt><tt class="py-op">,</tt> <tt class="py-param">epsilon</tt><tt class="py-op">=</tt><tt class="py-number">1E-10</tt><tt class="py-op">,</tt> <tt class="py-param">max_iter</tt><tt class="py-op">=</tt><tt class="py-number">20</tt><tt class="py-op">,</tt> <tt class="py-param">max_factors</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IterativeDecomposition.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IterativeDecomposition.__init__-expanded"><a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line">        <tt class="py-keyword">assert</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">references</tt><tt class="py-op">)</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-string">'at least one reference is required'</tt> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line">        <tt class="py-name">dim</tt> <tt class="py-op">=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">references</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">r</tt> <tt class="py-keyword">in</tt> <tt class="py-name">references</tt><tt class="py-op">:</tt> </tt>
<a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line">            <tt class="py-keyword">assert</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">dim</tt> </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vector_space</tt> <tt class="py-op">=</tt> <tt id="link-13" class="py-name"><a title="pod.vecspace" class="py-name" href="#" onclick="return doclink('link-13', 'vecspace', 'link-0');">vecspace</a></tt><tt class="py-op">.</tt><tt id="link-14" class="py-name" targets="Class pod.vecspace.VectorSpace=pod.vecspace.VectorSpace-class.html"><a title="pod.vecspace.VectorSpace" class="py-name" href="#" onclick="return doclink('link-14', 'VectorSpace', 'link-14');">VectorSpace</a></tt><tt class="py-op">(</tt><tt class="py-name">dim</tt><tt class="py-op">)</tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_reference_points</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">r</tt> <tt class="py-keyword">in</tt> <tt class="py-name">references</tt><tt class="py-op">:</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line">            <tt class="py-name">ref</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vector_space</tt><tt class="py-op">.</tt><tt id="link-15" class="py-name" targets="Method pod.vecspace.VectorSpace.define_point()=pod.vecspace.VectorSpace-class.html#define_point"><a title="pod.vecspace.VectorSpace.define_point" class="py-name" href="#" onclick="return doclink('link-15', 'define_point', 'link-15');">define_point</a></tt><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-name">r</tt><tt class="py-op">)</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_reference_points</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">ref</tt><tt class="py-op">)</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt> <tt class="py-op">=</tt> <tt class="py-name">dict</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">p</tt> <tt class="py-keyword">in</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_reference_points</tt><tt class="py-op">:</tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">[</tt><tt class="py-name">p</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">0.0</tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_epsilon</tt> <tt class="py-op">=</tt> <tt class="py-name">epsilon</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_start</tt> <tt class="py-op">=</tt> <tt class="py-name">None</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_max_iter</tt> <tt class="py-op">=</tt> <tt class="py-name">max_iter</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">max_factors</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_max_factors</tt> <tt class="py-op">=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_reference_points</tt><tt class="py-op">)</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_max_factors</tt> <tt class="py-op">=</tt> <tt class="py-name">max_factors</tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_error_norm</tt> <tt class="py-op">=</tt> <tt class="py-name">None</tt> </tt>
</div><a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line">         </tt>
<a name="IterativeDecomposition._compute_decomposition"></a><div id="IterativeDecomposition._compute_decomposition-def"><a name="L131"></a><tt class="py-lineno">131</tt> <a class="py-toggle" href="#" id="IterativeDecomposition._compute_decomposition-toggle" onclick="return toggle('IterativeDecomposition._compute_decomposition');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.IterativeDecomposition-class.html#_compute_decomposition">_compute_decomposition</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IterativeDecomposition._compute_decomposition-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IterativeDecomposition._compute_decomposition-expanded"><a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line"><tt class="py-docstring">        Computes current decomposition result on the fly.</tt> </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line"><tt class="py-docstring">        </tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"><tt class="py-docstring">        @return: the current relicate</tt> </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line"><tt class="py-docstring">        @rtype: linalg.Point</tt> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line">        <tt class="py-name">decomposition</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vector_space</tt><tt class="py-op">.</tt><tt class="py-name">origin</tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">d</tt> <tt class="py-keyword">in</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">.</tt><tt class="py-name">keys</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line">            <tt class="py-name">w_d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">[</tt><tt class="py-name">d</tt><tt class="py-op">]</tt> </tt>
<a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line">            <tt class="py-name">decomposition</tt> <tt class="py-op">=</tt> <tt class="py-name">decomposition</tt><tt class="py-op">.</tt><tt id="link-16" class="py-name" targets="Method pod.linalg.Matrix.add()=pod.linalg.Matrix-class.html#add,Method pod.linalg.Vector.add()=pod.linalg.Vector-class.html#add"><a title="pod.linalg.Matrix.add
pod.linalg.Vector.add" class="py-name" href="#" onclick="return doclink('link-16', 'add', 'link-16');">add</a></tt><tt class="py-op">(</tt><tt class="py-name">d</tt><tt class="py-op">.</tt><tt id="link-17" class="py-name" targets="Method pod.linalg.Matrix.scale()=pod.linalg.Matrix-class.html#scale,Method pod.linalg.Vector.scale()=pod.linalg.Vector-class.html#scale"><a title="pod.linalg.Matrix.scale
pod.linalg.Vector.scale" class="py-name" href="#" onclick="return doclink('link-17', 'scale', 'link-17');">scale</a></tt><tt class="py-op">(</tt><tt class="py-name">w_d</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">decomposition</tt> </tt>
</div><a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line">       </tt>
<a name="IterativeDecomposition.resolve"></a><div id="IterativeDecomposition.resolve-def"><a name="L144"></a><tt class="py-lineno">144</tt> <a class="py-toggle" href="#" id="IterativeDecomposition.resolve-toggle" onclick="return toggle('IterativeDecomposition.resolve');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.IterativeDecomposition-class.html#resolve">resolve</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">point</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IterativeDecomposition.resolve-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IterativeDecomposition.resolve-expanded"><a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line"><tt class="py-docstring">        Iterates decomposition until convergence or max iteration is reached.</tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line"><tt class="py-docstring">        </tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line"><tt class="py-docstring">        @param point: coordinates of the point to be decompositiond</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line"><tt class="py-docstring">        @type point: list</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line"><tt class="py-docstring">        @return: coordinates of decompositiond point</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line"><tt class="py-docstring">        @rtype: list</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line">        <tt class="py-keyword">pass</tt> </tt>
</div><a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line">     </tt>
<a name="IterativeDecomposition.get_reference_weight"></a><div id="IterativeDecomposition.get_reference_weight-def"><a name="L155"></a><tt class="py-lineno">155</tt> <a class="py-toggle" href="#" id="IterativeDecomposition.get_reference_weight-toggle" onclick="return toggle('IterativeDecomposition.get_reference_weight');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.IterativeDecomposition-class.html#get_reference_weight">get_reference_weight</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">position</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IterativeDecomposition.get_reference_weight-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IterativeDecomposition.get_reference_weight-expanded"><a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L157"></a><tt class="py-lineno">157</tt>  <tt class="py-line"><tt class="py-docstring">        Returns the weight assigned to the reference provided in the constructor</tt> </tt>
<a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line"><tt class="py-docstring">        at the indicated position.</tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line"><tt class="py-docstring">        </tt> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line"><tt class="py-docstring">        @param position: position of the reference in the list provided in the constructor</tt> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line"><tt class="py-docstring">        @type position: int</tt> </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line">        <tt class="py-name">ref</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_reference_points</tt><tt class="py-op">[</tt><tt class="py-name">position</tt><tt class="py-op">]</tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">[</tt><tt class="py-name">ref</tt><tt class="py-op">]</tt> </tt>
</div><a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line">         </tt>
<a name="IterativeDecomposition.get_reference_weights"></a><div id="IterativeDecomposition.get_reference_weights-def"><a name="L166"></a><tt class="py-lineno">166</tt> <a class="py-toggle" href="#" id="IterativeDecomposition.get_reference_weights-toggle" onclick="return toggle('IterativeDecomposition.get_reference_weights');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.IterativeDecomposition-class.html#get_reference_weights">get_reference_weights</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IterativeDecomposition.get_reference_weights-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IterativeDecomposition.get_reference_weights-expanded"><a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line"><tt class="py-docstring">        Returns the weights assigned to the references in order to construct the</tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line"><tt class="py-docstring">        proposed input.</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L171"></a><tt class="py-lineno">171</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">[</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_reference_points</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt><tt class="py-op">]</tt> </tt>
<a name="L172"></a><tt class="py-lineno">172</tt>  <tt class="py-line">                  <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_reference_points</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
</div><a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line">     </tt>
<a name="IterativeDecomposition.get_decomposition"></a><div id="IterativeDecomposition.get_decomposition-def"><a name="L174"></a><tt class="py-lineno">174</tt> <a class="py-toggle" href="#" id="IterativeDecomposition.get_decomposition-toggle" onclick="return toggle('IterativeDecomposition.get_decomposition');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.IterativeDecomposition-class.html#get_decomposition">get_decomposition</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IterativeDecomposition.get_decomposition-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IterativeDecomposition.get_decomposition-expanded"><a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line"><tt class="py-docstring">        Returns the result of the decomposition process.</tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line"><tt class="py-docstring">        </tt> </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line"><tt class="py-docstring">        @return: decomposition result</tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line"><tt class="py-docstring">        @rtype: list</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_compute_decomposition</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-18" class="py-name" targets="Method pod.linalg.Vector.get_data()=pod.linalg.Vector-class.html#get_data"><a title="pod.linalg.Vector.get_data" class="py-name" href="#" onclick="return doclink('link-18', 'get_data', 'link-18');">get_data</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
</div><a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line">     </tt>
<a name="IterativeDecomposition.get_error_norm"></a><div id="IterativeDecomposition.get_error_norm-def"><a name="L183"></a><tt class="py-lineno">183</tt> <a class="py-toggle" href="#" id="IterativeDecomposition.get_error_norm-toggle" onclick="return toggle('IterativeDecomposition.get_error_norm');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.IterativeDecomposition-class.html#get_error_norm">get_error_norm</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IterativeDecomposition.get_error_norm-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IterativeDecomposition.get_error_norm-expanded"><a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line"><tt class="py-docstring">        Returns a measure of the decomposition error.</tt> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line"><tt class="py-docstring">        </tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line"><tt class="py-docstring">        @return: length of the difference between the result and the initial point</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line"><tt class="py-docstring">        @rtype: float</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_compute_decomposition</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-19" class="py-name"><a title="pod.linalg.Matrix.sub
pod.linalg.Vector.sub" class="py-name" href="#" onclick="return doclink('link-19', 'sub', 'link-8');">sub</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_start</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-20" class="py-name"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-20', 'norm', 'link-9');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
</div><a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">     </tt>
<a name="IterativeDecomposition.__repr__"></a><div id="IterativeDecomposition.__repr__-def"><a name="L192"></a><tt class="py-lineno">192</tt> <a class="py-toggle" href="#" id="IterativeDecomposition.__repr__-toggle" onclick="return toggle('IterativeDecomposition.__repr__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.IterativeDecomposition-class.html#__repr__">__repr__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="IterativeDecomposition.__repr__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="IterativeDecomposition.__repr__-expanded"><a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line">        <tt class="py-name">out</tt> <tt class="py-op">=</tt> <tt class="py-string">'reference points:'</tt> <tt class="py-op">+</tt> <tt class="py-name">os</tt><tt class="py-op">.</tt><tt class="py-name">linesep</tt> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">p</tt> <tt class="py-keyword">in</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_reference_points</tt><tt class="py-op">:</tt> </tt>
<a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line">            <tt class="py-name">out</tt> <tt class="py-op">+=</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">p</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">os</tt><tt class="py-op">.</tt><tt class="py-name">linesep</tt> </tt>
<a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line">        <tt class="py-name">out</tt> <tt class="py-op">+=</tt> <tt class="py-string">'weightings:'</tt> <tt class="py-op">+</tt> <tt class="py-name">os</tt><tt class="py-op">.</tt><tt class="py-name">linesep</tt> </tt>
<a name="L197"></a><tt class="py-lineno">197</tt>  <tt class="py-line">        <tt class="py-name">out</tt> <tt class="py-op">+=</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">)</tt> </tt>
<a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">out</tt> </tt>
</div></div><a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line">   </tt>
<a name="BaseDecomposition"></a><div id="BaseDecomposition-def"><a name="L200"></a><tt class="py-lineno">200</tt> <a class="py-toggle" href="#" id="BaseDecomposition-toggle" onclick="return toggle('BaseDecomposition');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pod.BaseDecomposition-class.html">BaseDecomposition</a><tt class="py-op">(</tt><tt class="py-base-class">IterativeDecomposition</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="BaseDecomposition-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="BaseDecomposition-expanded"><a name="L201"></a><tt class="py-lineno">201</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line"><tt class="py-docstring">    Decomposition on a set of reference points.</tt> </tt>
<a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L204"></a><tt class="py-lineno">204</tt>  <tt class="py-line">     </tt>
<a name="BaseDecomposition.__init__"></a><div id="BaseDecomposition.__init__-def"><a name="L205"></a><tt class="py-lineno">205</tt> <a class="py-toggle" href="#" id="BaseDecomposition.__init__-toggle" onclick="return toggle('BaseDecomposition.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.BaseDecomposition-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">references</tt><tt class="py-op">,</tt>  </tt>
<a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line">            <tt class="py-param">epsilon</tt><tt class="py-op">=</tt><tt class="py-number">1E-10</tt><tt class="py-op">,</tt>  </tt>
<a name="L207"></a><tt class="py-lineno">207</tt>  <tt class="py-line">            <tt class="py-param">max_iter</tt><tt class="py-op">=</tt><tt class="py-number">20</tt><tt class="py-op">,</tt>  </tt>
<a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line">            <tt class="py-param">max_factors</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line">            <tt class="py-param">max_weight</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> </tt>
<a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line">            <tt class="py-param">distance</tt><tt class="py-op">=</tt><tt id="link-21" class="py-name"><a title="pod.combined_distance" class="py-name" href="#" onclick="return doclink('link-21', 'combined_distance', 'link-12');">combined_distance</a></tt><tt class="py-op">(</tt><tt class="py-number">0.0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="BaseDecomposition.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="BaseDecomposition.__init__-expanded"><a name="L211"></a><tt class="py-lineno">211</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L212"></a><tt class="py-lineno">212</tt>  <tt class="py-line"><tt class="py-docstring">        @param distance: function of start point, projected point and generator point</tt> </tt>
<a name="L213"></a><tt class="py-lineno">213</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L214"></a><tt class="py-lineno">214</tt>  <tt class="py-line">        <tt class="py-name">IterativeDecomposition</tt><tt class="py-op">.</tt><tt id="link-22" class="py-name" targets="Method pod.DecompositionBasic.__init__()=pod.DecompositionBasic-class.html#__init__,Method pod.linalg.Matrix.__init__()=pod.linalg.Matrix-class.html#__init__,Method pod.linalg.Point.__init__()=pod.linalg.Point-class.html#__init__,Method pod.linalg.Vector.__init__()=pod.linalg.Vector-class.html#__init__,Method pod.linalg.VectorMatrix.__init__()=pod.linalg.VectorMatrix-class.html#__init__,Method pod.vecspace.HyperPlane.__init__()=pod.vecspace.HyperPlane-class.html#__init__,Method pod.vecspace.LinearVariety.__init__()=pod.vecspace.LinearVariety-class.html#__init__,Method pod.vecspace.Projection.__init__()=pod.vecspace.Projection-class.html#__init__,Method pod.vecspace.StraightLine.__init__()=pod.vecspace.StraightLine-class.html#__init__,Method pod.vecspace.VectorSpace.__init__()=pod.vecspace.VectorSpace-class.html#__init__,Method pod.vecspace.VectorSpace3D.__init__()=pod.vecspace.VectorSpace3D-class.html#__init__,Method pod.vecspace.VectorSubspace.__init__()=pod.vecspace.VectorSubspace-class.html#__init__"><a title="pod.DecompositionBasic.__init__
pod.linalg.Matrix.__init__
pod.linalg.Point.__init__
pod.linalg.Vector.__init__
pod.linalg.VectorMatrix.__init__
pod.vecspace.HyperPlane.__init__
pod.vecspace.LinearVariety.__init__
pod.vecspace.Projection.__init__
pod.vecspace.StraightLine.__init__
pod.vecspace.VectorSpace.__init__
pod.vecspace.VectorSpace3D.__init__
pod.vecspace.VectorSubspace.__init__" class="py-name" href="#" onclick="return doclink('link-22', '__init__', 'link-22');">__init__</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">references</tt><tt class="py-op">,</tt> <tt class="py-name">epsilon</tt><tt class="py-op">,</tt> <tt class="py-name">max_iter</tt><tt class="py-op">,</tt> <tt class="py-name">max_factors</tt><tt class="py-op">)</tt> </tt>
<a name="L215"></a><tt class="py-lineno">215</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_max_weight</tt> <tt class="py-op">=</tt> <tt class="py-name">max_weight</tt> </tt>
<a name="L216"></a><tt class="py-lineno">216</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_distance</tt> <tt class="py-op">=</tt> <tt class="py-name">distance</tt> </tt>
</div><a name="L217"></a><tt class="py-lineno">217</tt>  <tt class="py-line">     </tt>
<a name="BaseDecomposition._project_point"></a><div id="BaseDecomposition._project_point-def"><a name="L218"></a><tt class="py-lineno">218</tt> <a class="py-toggle" href="#" id="BaseDecomposition._project_point-toggle" onclick="return toggle('BaseDecomposition._project_point');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.BaseDecomposition-class.html#_project_point">_project_point</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">point</tt><tt class="py-op">,</tt> <tt class="py-param">reference_points</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="BaseDecomposition._project_point-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="BaseDecomposition._project_point-expanded"><a name="L219"></a><tt class="py-lineno">219</tt>  <tt class="py-line">        <tt class="py-docstring">""" Projects onto the closest of the straight lines defined by </tt> </tt>
<a name="L220"></a><tt class="py-lineno">220</tt>  <tt class="py-line"><tt class="py-docstring">        the reference points.</tt> </tt>
<a name="L221"></a><tt class="py-lineno">221</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L222"></a><tt class="py-lineno">222</tt>  <tt class="py-line">        <tt class="py-comment"># computes projection of source point to each subspace defined by ref points</tt> </tt>
<a name="L223"></a><tt class="py-lineno">223</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-name">origin</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vector_space</tt><tt class="py-op">.</tt><tt class="py-name">origin</tt> </tt>
<a name="L224"></a><tt class="py-lineno">224</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">point</tt><tt class="py-op">.</tt><tt id="link-23" class="py-name"><a title="pod.linalg.Matrix.sub
pod.linalg.Vector.sub" class="py-name" href="#" onclick="return doclink('link-23', 'sub', 'link-8');">sub</a></tt><tt class="py-op">(</tt><tt class="py-name">origin</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-24" class="py-name"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-24', 'norm', 'link-9');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-op">&lt;=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_epsilon</tt><tt class="py-op">:</tt> </tt>
<a name="L225"></a><tt class="py-lineno">225</tt>  <tt class="py-line">            <tt class="py-comment"># already matched: do nothing</tt> </tt>
<a name="L226"></a><tt class="py-lineno">226</tt>  <tt class="py-line"><tt class="py-comment"></tt>            <tt class="py-keyword">return</tt> <tt class="py-name">point</tt> </tt>
<a name="L227"></a><tt class="py-lineno">227</tt>  <tt class="py-line">           </tt>
<a name="L228"></a><tt class="py-lineno">228</tt>  <tt class="py-line">        <tt id="link-25" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-25', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'projecting '</tt> <tt class="py-op">+</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">point</tt><tt class="py-op">)</tt><tt class="py-op">)</tt>       </tt>
<a name="L229"></a><tt class="py-lineno">229</tt>  <tt class="py-line">        <tt class="py-name">projections</tt> <tt class="py-op">=</tt> <tt class="py-name">dict</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L230"></a><tt class="py-lineno">230</tt>  <tt class="py-line">        <tt class="py-name">distances</tt> <tt class="py-op">=</tt> <tt class="py-name">dict</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L231"></a><tt class="py-lineno">231</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">ref</tt> <tt class="py-keyword">in</tt> <tt class="py-name">reference_points</tt><tt class="py-op">:</tt> </tt>
<a name="L232"></a><tt class="py-lineno">232</tt>  <tt class="py-line">            <tt class="py-name">line</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vector_space</tt><tt class="py-op">.</tt><tt id="link-26" class="py-name" targets="Method pod.vecspace.VectorSpace.define_line()=pod.vecspace.VectorSpace-class.html#define_line"><a title="pod.vecspace.VectorSpace.define_line" class="py-name" href="#" onclick="return doclink('link-26', 'define_line', 'link-26');">define_line</a></tt><tt class="py-op">(</tt><tt class="py-name">ref</tt><tt class="py-op">,</tt> <tt class="py-name">origin</tt><tt class="py-op">)</tt> </tt>
<a name="L233"></a><tt class="py-lineno">233</tt>  <tt class="py-line">            <tt id="link-27" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-27', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'computing projection onto '</tt> <tt class="py-op">+</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">line</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L234"></a><tt class="py-lineno">234</tt>  <tt class="py-line">            <tt class="py-name">ref_proj</tt> <tt class="py-op">=</tt> <tt class="py-name">line</tt><tt class="py-op">.</tt><tt id="link-28" class="py-name" targets="Method pod.vecspace.LinearVariety.project()=pod.vecspace.LinearVariety-class.html#project,Method pod.vecspace.VectorSubspace.project()=pod.vecspace.VectorSubspace-class.html#project"><a title="pod.vecspace.LinearVariety.project
pod.vecspace.VectorSubspace.project" class="py-name" href="#" onclick="return doclink('link-28', 'project', 'link-28');">project</a></tt><tt class="py-op">(</tt><tt class="py-name">point</tt><tt class="py-op">)</tt> </tt>
<a name="L235"></a><tt class="py-lineno">235</tt>  <tt class="py-line">            <tt class="py-name">projections</tt><tt class="py-op">[</tt><tt class="py-name">ref</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">ref_proj</tt><tt class="py-op">.</tt><tt class="py-name">projected</tt> </tt>
<a name="L236"></a><tt class="py-lineno">236</tt>  <tt class="py-line">            <tt class="py-name">distances</tt><tt class="py-op">[</tt><tt class="py-name">ref</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_distance</tt><tt class="py-op">(</tt><tt class="py-name">point</tt><tt class="py-op">,</tt> <tt class="py-name">ref_proj</tt><tt class="py-op">.</tt><tt class="py-name">projected</tt><tt class="py-op">,</tt> <tt class="py-name">ref</tt><tt class="py-op">)</tt> </tt>
<a name="L237"></a><tt class="py-lineno">237</tt>  <tt class="py-line">            <tt id="link-29" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-29', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'distance '</tt> <tt class="py-op">+</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">distances</tt><tt class="py-op">[</tt><tt class="py-name">ref</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L238"></a><tt class="py-lineno">238</tt>  <tt class="py-line">           </tt>
<a name="L239"></a><tt class="py-lineno">239</tt>  <tt class="py-line">        <tt class="py-name">ref_points</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt> </tt>
<a name="L240"></a><tt class="py-lineno">240</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">p</tt> <tt class="py-keyword">in</tt> <tt class="py-name">reference_points</tt><tt class="py-op">:</tt> </tt>
<a name="L241"></a><tt class="py-lineno">241</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_max_weight</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L242"></a><tt class="py-lineno">242</tt>  <tt class="py-line">                <tt class="py-name">ref_points</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">p</tt><tt class="py-op">)</tt> </tt>
<a name="L243"></a><tt class="py-lineno">243</tt>  <tt class="py-line">            <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L244"></a><tt class="py-lineno">244</tt>  <tt class="py-line">                <tt class="py-name">additional_weight</tt> <tt class="py-op">=</tt> <tt class="py-name">projections</tt><tt class="py-op">[</tt><tt class="py-name">p</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt id="link-30" class="py-name" targets="Method pod.linalg.Vector.units()=pod.linalg.Vector-class.html#units"><a title="pod.linalg.Vector.units" class="py-name" href="#" onclick="return doclink('link-30', 'units', 'link-30');">units</a></tt><tt class="py-op">(</tt><tt class="py-name">p</tt><tt class="py-op">)</tt> </tt>
<a name="L245"></a><tt class="py-lineno">245</tt>  <tt class="py-line">                <tt class="py-name">suggested_weight</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">[</tt><tt class="py-name">p</tt><tt class="py-op">]</tt> <tt class="py-op">+</tt> <tt class="py-name">additional_weight</tt> </tt>
<a name="L246"></a><tt class="py-lineno">246</tt>  <tt class="py-line">                <tt class="py-keyword">if</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">suggested_weight</tt><tt class="py-op">)</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_max_weight</tt><tt class="py-op">:</tt> </tt>
<a name="L247"></a><tt class="py-lineno">247</tt>  <tt class="py-line">                    <tt class="py-name">ref_points</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">p</tt><tt class="py-op">)</tt> </tt>
<a name="L248"></a><tt class="py-lineno">248</tt>  <tt class="py-line">                 </tt>
<a name="L249"></a><tt class="py-lineno">249</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">ref_points</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L250"></a><tt class="py-lineno">250</tt>  <tt class="py-line">            <tt class="py-comment"># no eligible point left</tt> </tt>
<a name="L251"></a><tt class="py-lineno">251</tt>  <tt class="py-line"><tt class="py-comment"></tt>            <tt class="py-keyword">return</tt> <tt class="py-name">point</tt> </tt>
<a name="L252"></a><tt class="py-lineno">252</tt>  <tt class="py-line">         </tt>
<a name="L253"></a><tt class="py-lineno">253</tt>  <tt class="py-line">        <tt class="py-comment"># finds main driver (shortest distance to ref line)</tt> </tt>
<a name="L254"></a><tt class="py-lineno">254</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-keyword">def</tt> <tt class="py-def-name">by_dist</tt><tt class="py-op">(</tt><tt class="py-param">ref1</tt><tt class="py-op">,</tt> <tt class="py-param">ref2</tt><tt class="py-op">,</tt> <tt class="py-param">d</tt><tt class="py-op">=</tt><tt class="py-name">distances</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L255"></a><tt class="py-lineno">255</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">cmp</tt><tt class="py-op">(</tt><tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-name">ref1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-name">ref2</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
</div><a name="L256"></a><tt class="py-lineno">256</tt>  <tt class="py-line">        <tt class="py-name">ref_points</tt><tt class="py-op">.</tt><tt class="py-name">sort</tt><tt class="py-op">(</tt><tt class="py-name">by_dist</tt><tt class="py-op">)</tt> </tt>
<a name="L257"></a><tt class="py-lineno">257</tt>  <tt class="py-line">         </tt>
<a name="L258"></a><tt class="py-lineno">258</tt>  <tt class="py-line">        <tt class="py-name">closest</tt> <tt class="py-op">=</tt> <tt class="py-name">ref_points</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt>             </tt>
<a name="L259"></a><tt class="py-lineno">259</tt>  <tt class="py-line">        <tt class="py-name">additional_weight</tt> <tt class="py-op">=</tt> <tt class="py-name">projections</tt><tt class="py-op">[</tt><tt class="py-name">closest</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt id="link-31" class="py-name"><a title="pod.linalg.Vector.units" class="py-name" href="#" onclick="return doclink('link-31', 'units', 'link-30');">units</a></tt><tt class="py-op">(</tt><tt class="py-name">closest</tt><tt class="py-op">)</tt> </tt>
<a name="L260"></a><tt class="py-lineno">260</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">[</tt><tt class="py-name">closest</tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-name">additional_weight</tt> </tt>
<a name="L261"></a><tt class="py-lineno">261</tt>  <tt class="py-line">        <tt id="link-32" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-32', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'closest driver: %s, weight=%f'</tt> <tt class="py-op">%</tt> <tt class="py-op">(</tt><tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">closest</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">[</tt><tt class="py-name">closest</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L262"></a><tt class="py-lineno">262</tt>  <tt class="py-line">         </tt>
<a name="L263"></a><tt class="py-lineno">263</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">point</tt><tt class="py-op">.</tt><tt id="link-33" class="py-name"><a title="pod.linalg.Matrix.sub
pod.linalg.Vector.sub" class="py-name" href="#" onclick="return doclink('link-33', 'sub', 'link-8');">sub</a></tt><tt class="py-op">(</tt><tt class="py-name">projections</tt><tt class="py-op">[</tt><tt class="py-name">closest</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
</div><a name="L264"></a><tt class="py-lineno">264</tt>  <tt class="py-line">     </tt>
<a name="BaseDecomposition.resolve"></a><div id="BaseDecomposition.resolve-def"><a name="L265"></a><tt class="py-lineno">265</tt> <a class="py-toggle" href="#" id="BaseDecomposition.resolve-toggle" onclick="return toggle('BaseDecomposition.resolve');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.BaseDecomposition-class.html#resolve">resolve</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">point</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="BaseDecomposition.resolve-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="BaseDecomposition.resolve-expanded"><a name="L266"></a><tt class="py-lineno">266</tt>  <tt class="py-line">        <tt class="py-docstring">"""</tt> </tt>
<a name="L267"></a><tt class="py-lineno">267</tt>  <tt class="py-line"><tt class="py-docstring">        Iterates decomposition until convergence or max iteration is reached.</tt> </tt>
<a name="L268"></a><tt class="py-lineno">268</tt>  <tt class="py-line"><tt class="py-docstring">        </tt> </tt>
<a name="L269"></a><tt class="py-lineno">269</tt>  <tt class="py-line"><tt class="py-docstring">        @param point: coordinates of the point to be decompositiond</tt> </tt>
<a name="L270"></a><tt class="py-lineno">270</tt>  <tt class="py-line"><tt class="py-docstring">        @type point: list</tt> </tt>
<a name="L271"></a><tt class="py-lineno">271</tt>  <tt class="py-line"><tt class="py-docstring">        @return: coordinates of decompositiond point</tt> </tt>
<a name="L272"></a><tt class="py-lineno">272</tt>  <tt class="py-line"><tt class="py-docstring">        @rtype: list</tt> </tt>
<a name="L273"></a><tt class="py-lineno">273</tt>  <tt class="py-line"><tt class="py-docstring">        """</tt> </tt>
<a name="L274"></a><tt class="py-lineno">274</tt>  <tt class="py-line">        <tt class="py-name">IterativeDecomposition</tt><tt class="py-op">.</tt><tt class="py-name">resolve</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">point</tt><tt class="py-op">)</tt> </tt>
<a name="L275"></a><tt class="py-lineno">275</tt>  <tt class="py-line">        <tt id="link-34" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-34', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">' ------------- STARTING PROCESS -------------'</tt><tt class="py-op">)</tt> </tt>
<a name="L276"></a><tt class="py-lineno">276</tt>  <tt class="py-line">        <tt class="py-name">target</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_vector_space</tt><tt class="py-op">.</tt><tt id="link-35" class="py-name"><a title="pod.vecspace.VectorSpace.define_point" class="py-name" href="#" onclick="return doclink('link-35', 'define_point', 'link-15');">define_point</a></tt><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-name">point</tt><tt class="py-op">)</tt> </tt>
<a name="L277"></a><tt class="py-lineno">277</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_start</tt> <tt class="py-op">=</tt> <tt class="py-name">target</tt> </tt>
<a name="L278"></a><tt class="py-lineno">278</tt>  <tt class="py-line">        <tt class="py-name">reference_points</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_reference_points</tt> </tt>
<a name="L279"></a><tt class="py-lineno">279</tt>  <tt class="py-line">        <tt class="py-name">projector</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_project_point</tt><tt class="py-op">(</tt><tt class="py-name">target</tt><tt class="py-op">,</tt> <tt class="py-name">reference_points</tt><tt class="py-op">)</tt> </tt>
<a name="L280"></a><tt class="py-lineno">280</tt>  <tt class="py-line">        <tt class="py-name">diff</tt> <tt class="py-op">=</tt> <tt class="py-name">None</tt> </tt>
<a name="L281"></a><tt class="py-lineno">281</tt>  <tt class="py-line">        <tt id="link-36" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-36', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'distance to projection: %f'</tt> <tt class="py-op">%</tt> <tt class="py-name">projector</tt><tt class="py-op">.</tt><tt id="link-37" class="py-name"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-37', 'norm', 'link-9');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L282"></a><tt class="py-lineno">282</tt>  <tt class="py-line">        <tt id="link-38" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-38', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'drivers: '</tt> <tt class="py-op">+</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L283"></a><tt class="py-lineno">283</tt>  <tt class="py-line">        <tt class="py-name">i</tt> <tt class="py-op">=</tt> <tt class="py-number">0</tt> </tt>
<a name="L284"></a><tt class="py-lineno">284</tt>  <tt class="py-line">        <tt class="py-keyword">while</tt> <tt class="py-op">(</tt><tt class="py-name">diff</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">)</tt> <tt class="py-keyword">or</tt> <tt class="py-op">(</tt><tt class="py-name">diff</tt> <tt class="py-op">&gt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_epsilon</tt> <tt class="py-keyword">and</tt> <tt class="py-name">i</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_max_iter</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L285"></a><tt class="py-lineno">285</tt>  <tt class="py-line">            <tt class="py-name">i</tt> <tt class="py-op">=</tt> <tt class="py-name">i</tt> <tt class="py-op">+</tt> <tt class="py-number">1</tt> </tt>
<a name="L286"></a><tt class="py-lineno">286</tt>  <tt class="py-line">            <tt class="py-name">previous</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_compute_decomposition</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L287"></a><tt class="py-lineno">287</tt>  <tt class="py-line">            <tt id="link-39" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-39', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">' ------------- ITERATION %d -------------'</tt> <tt class="py-op">%</tt> <tt class="py-name">i</tt><tt class="py-op">)</tt> </tt>
<a name="L288"></a><tt class="py-lineno">288</tt>  <tt class="py-line">            <tt class="py-name">projector</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_project_point</tt><tt class="py-op">(</tt><tt class="py-name">projector</tt><tt class="py-op">,</tt> <tt class="py-name">reference_points</tt><tt class="py-op">)</tt> </tt>
<a name="L289"></a><tt class="py-lineno">289</tt>  <tt class="py-line">            <tt class="py-name">enabled_drivers</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-name">p</tt> <tt class="py-keyword">for</tt> <tt class="py-name">p</tt> <tt class="py-keyword">in</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">.</tt><tt class="py-name">keys</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> <tt class="py-keyword">if</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">[</tt><tt class="py-name">p</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">0.0</tt><tt class="py-op">]</tt> </tt>
<a name="L290"></a><tt class="py-lineno">290</tt>  <tt class="py-line">            <tt class="py-name">drivers_count</tt> <tt class="py-op">=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">enabled_drivers</tt><tt class="py-op">)</tt> </tt>
<a name="L291"></a><tt class="py-lineno">291</tt>  <tt class="py-line">            <tt id="link-40" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-40', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'number of drivers: %d'</tt> <tt class="py-op">%</tt> <tt class="py-name">drivers_count</tt><tt class="py-op">)</tt> </tt>
<a name="L292"></a><tt class="py-lineno">292</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-name">drivers_count</tt> <tt class="py-op">&gt;=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_max_factors</tt><tt class="py-op">:</tt> </tt>
<a name="L293"></a><tt class="py-lineno">293</tt>  <tt class="py-line">                <tt class="py-comment"># limits number of drivers</tt> </tt>
<a name="L294"></a><tt class="py-lineno">294</tt>  <tt class="py-line"><tt class="py-comment"></tt>                <tt id="link-41" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-41', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'count limit reached for drivers: %d'</tt> <tt class="py-op">%</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_max_factors</tt><tt class="py-op">)</tt> </tt>
<a name="L295"></a><tt class="py-lineno">295</tt>  <tt class="py-line">                <tt class="py-name">reference_points</tt> <tt class="py-op">=</tt> <tt class="py-name">enabled_drivers</tt> </tt>
<a name="L296"></a><tt class="py-lineno">296</tt>  <tt class="py-line">                 </tt>
<a name="L297"></a><tt class="py-lineno">297</tt>  <tt class="py-line">            <tt class="py-name">decomposition</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_compute_decomposition</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L298"></a><tt class="py-lineno">298</tt>  <tt class="py-line">            <tt class="py-name">diff</tt> <tt class="py-op">=</tt> <tt class="py-name">decomposition</tt><tt class="py-op">.</tt><tt id="link-42" class="py-name"><a title="pod.linalg.Matrix.sub
pod.linalg.Vector.sub" class="py-name" href="#" onclick="return doclink('link-42', 'sub', 'link-8');">sub</a></tt><tt class="py-op">(</tt><tt class="py-name">previous</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-43" class="py-name"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-43', 'norm', 'link-9');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L299"></a><tt class="py-lineno">299</tt>  <tt class="py-line">            <tt id="link-44" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-44', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'improvement: %f'</tt> <tt class="py-op">%</tt> <tt class="py-name">diff</tt><tt class="py-op">)</tt> </tt>
<a name="L300"></a><tt class="py-lineno">300</tt>  <tt class="py-line">            <tt id="link-45" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-45', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'distance to projection: %f'</tt> <tt class="py-op">%</tt> <tt class="py-name">projector</tt><tt class="py-op">.</tt><tt id="link-46" class="py-name"><a title="pod.linalg.Vector.norm
pod.util.norm" class="py-name" href="#" onclick="return doclink('link-46', 'norm', 'link-9');">norm</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L301"></a><tt class="py-lineno">301</tt>  <tt class="py-line">            <tt id="link-47" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-47', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'drivers: '</tt> <tt class="py-op">+</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_weights</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L302"></a><tt class="py-lineno">302</tt>  <tt class="py-line">            <tt id="link-48" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-48', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'decomposition: '</tt> <tt class="py-op">+</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">decomposition</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L303"></a><tt class="py-lineno">303</tt>  <tt class="py-line">         </tt>
<a name="L304"></a><tt class="py-lineno">304</tt>  <tt class="py-line">        <tt id="link-49" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-49', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'start:'</tt> <tt class="py-op">+</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">target</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L305"></a><tt class="py-lineno">305</tt>  <tt class="py-line">        <tt id="link-50" class="py-name"><a title="pod._logger
pod.linalg._logger
pod.util._logger
pod.vecspace._logger" class="py-name" href="#" onclick="return doclink('link-50', '_logger', 'link-5');">_logger</a></tt><tt class="py-op">.</tt><tt class="py-name">debug</tt><tt class="py-op">(</tt><tt class="py-string">'diff:'</tt> <tt class="py-op">+</tt> <tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">decomposition</tt><tt class="py-op">.</tt><tt id="link-51" class="py-name"><a title="pod.linalg.Matrix.sub
pod.linalg.Vector.sub" class="py-name" href="#" onclick="return doclink('link-51', 'sub', 'link-8');">sub</a></tt><tt class="py-op">(</tt><tt class="py-name">target</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L306"></a><tt class="py-lineno">306</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">decomposition</tt><tt class="py-op">.</tt><tt id="link-52" class="py-name"><a title="pod.linalg.Vector.get_data" class="py-name" href="#" onclick="return doclink('link-52', 'get_data', 'link-18');">get_data</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L307"></a><tt class="py-lineno">307</tt>  <tt class="py-line">     </tt>
<a name="DecompositionBasic"></a><div id="DecompositionBasic-def"><a name="L308"></a><tt class="py-lineno">308</tt> <a class="py-toggle" href="#" id="DecompositionBasic-toggle" onclick="return toggle('DecompositionBasic');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pod.DecompositionBasic-class.html">DecompositionBasic</a><tt class="py-op">(</tt><tt class="py-base-class">BaseDecomposition</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="DecompositionBasic-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="DecompositionBasic-expanded"><a name="L309"></a><tt class="py-lineno">309</tt>  <tt class="py-line">   </tt>
<a name="DecompositionBasic.__init__"></a><div id="DecompositionBasic.__init__-def"><a name="L310"></a><tt class="py-lineno">310</tt> <a class="py-toggle" href="#" id="DecompositionBasic.__init__-toggle" onclick="return toggle('DecompositionBasic.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pod.DecompositionBasic-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">ref1</tt><tt class="py-op">,</tt> <tt class="py-param">ref2</tt><tt class="py-op">,</tt> <tt class="py-param">max_iter</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="DecompositionBasic.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="DecompositionBasic.__init__-expanded"><a name="L311"></a><tt class="py-lineno">311</tt>  <tt class="py-line">        <tt class="py-name">BaseDecomposition</tt><tt class="py-op">.</tt><tt id="link-53" class="py-name"><a title="pod.DecompositionBasic.__init__
pod.linalg.Matrix.__init__
pod.linalg.Point.__init__
pod.linalg.Vector.__init__
pod.linalg.VectorMatrix.__init__
pod.vecspace.HyperPlane.__init__
pod.vecspace.LinearVariety.__init__
pod.vecspace.Projection.__init__
pod.vecspace.StraightLine.__init__
pod.vecspace.VectorSpace.__init__
pod.vecspace.VectorSpace3D.__init__
pod.vecspace.VectorSubspace.__init__" class="py-name" href="#" onclick="return doclink('link-53', '__init__', 'link-22');">__init__</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-op">[</tt><tt class="py-name">ref1</tt><tt class="py-op">,</tt> <tt class="py-name">ref2</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">max_iter</tt><tt class="py-op">=</tt><tt class="py-name">max_iter</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L312"></a><tt class="py-lineno">312</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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